AIR MATH

Math Question

A certain affects virus \( 0.1 \% \) of the population. A test used to detect the virus in a person is positive \( 89 \% \) of the time if the person has the virus (true positive) and \( 14 \% \) of the time if the person does not have the virus (false postive). Fill out the remainder of the following table and use it to answer the two questions below. \begin{tabular}{|r|r|r|r|} \hline & Infected & Not Infected & Total \\ \hline Positive Test & \( \square \) & \( \square \) & \( \square \) \\ \hline Negative Test & \( \square \) & \( \square \) & \( \square \) \\ \hline Total & 100 & 99,900 & 100,000 \\ \hline \end{tabular} a) Find the probability that a person has the virus given that they have tested positive. Round your answer to the nearest tenth of a percent and do not include a percent sign. P(Infected | Positive Test)= b) Find the probability that a person does not have the virus given that they test negative. Round your answer to the nearest tenth of a percent and do not include a percent sign. \( \mathrm{P}( \) Not Infected \( \mid \) Negative Test \( )= \) \( \% \)

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